Correct Answer: Option C

Explanation

\(\left| 
\begin{array}{cc}
2 & -3 \\
1 & 4
\end{array} 
\right|
\left| 
\begin{array}{c}
-6 \\
p
\end{array} 
\right|
= 
\left| 
\begin{array}{c}
3 \\
-26
\end{array} 
\right|\) 

= \(\left| 
\begin{array}{cc}
2 \times -6 & -3 \times p \\
1\times -6 & 4 \times p
\end{array} 
\right|\) = \(\left| 
\begin{array}{c}
3 \\
-26
\end{array} 
\right|\)

-12 - 3p = 3

-6 + 4p = -26

-3p = 3 + 12 = 15

p = \(\frac{15}{-3}\) = -5

Therefore, p = - 5

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